Octal to Binary Converter
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Quick Examples
Enter an octal value to see the conversion steps here.
Other Conversions
Octal to Binary Converter
An Octal to Binary Converter helps convert octal numbers (base-8) into binary numbers (base-2). This conversion is widely used in computer science, digital electronics, and number system studies.
Convert each octal digit into its 3-bit binary equivalent and combine all the binary groups to get the final binary number.
What Is the Octal Number System?
The octal number system is a base-8 number system. It uses only eight digits: 0 to 7. Each octal digit can be directly converted into a 3-bit binary number.
What Is the Binary Number System?
The binary number system is a base-2 number system used by computers. It uses only two digits: 0 and 1, where 1 represents ON and 0 represents OFF.
How to Convert Octal to Binary
- Write the octal number
- Convert each octal digit into a 3-bit binary value
- Combine all binary groups in the same order
- The final result is the binary number
Example: Convert 175 (Octal) to Binary
| Octal Digit | Binary (3-bit) |
|---|---|
| 1 | 001 |
| 7 | 111 |
| 5 | 101 |
175₈ = 001111101₂
Octal to Binary Conversion Table
| Octal | Binary |
|---|---|
| 0 | 000 |
| 1 | 001 |
| 2 | 010 |
| 3 | 011 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 10 | 001000 |
| 12 | 001010 |
| 20 | 010000 |
FAQ on Octal to Binary Converter
Octal to binary conversion is the process of converting a base-8 number into a base-2 number by replacing each octal digit with its 3-bit binary equivalent.
Because the octal number system is base-8 and 2³ equals 8, so each octal digit maps directly to three binary digits.
The easiest way is converting each octal digit directly into its 3-bit binary form and then joining all the binary groups together.